Packing Cubes and Volume

Which statement best describes the difference between area and volume?

• Area is the distance around a shape, and volume is the amount of area shape covers.

• Area is the number of square units needed to cover a plane figure, and volume is the number of unit cubes needed to fill a solid figure.

A cube whose edge lengths measure 1 unit is called a

• unit cube.

• box.

• square

• rectangular prism.

What are the attributes, or characteristics, of a three-dimensional figure?

• length and width, flat, has area, measured square units

• length, width and height, solid figure, has volume, measured in cubic units

What is the volume of this Rubik cube if each small cube measures 1 centimeter?

• 3 cubic centimeters

• 9 cubic centimeters

• 27 cubic centimeters

• 18 cubic centimeters

What is the volume of this cube if the sides are measured in meters?

• 12 cubic meters

• 64 cubic meters

• 64 square meters

• 32 cubic meters

Each side of this ice cube measures 2 inches.  What is the volume of the ice cube?

• 6 cubic inches

• 8 cubic inches

• 12 cubic inches

• 8 square inches

The shaded cube has a volume of 1 cubic unit. Cubes like this one will be used to completely fill a rectangular prism that has the dimensions shown. How many of these shaded cubes will be needed to completely fill the rectangular prism?

• 48

• 80

• 160

• not here

A rectangular prism has a length of 20 inches, a width of 11 inches, and a height of 13 inches. What is the volume, in cubic inches, of this rectangular prism?

(Enter the number only.)

The length of one edge of a cube is 3 units. What is the volume of this cube, in cubic units?

Duane packed some books in a box shaped like a rectangular prism. The volume of the box is 168 cubic inches. Which model could represent Duane's box?

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